{"id":10315,"date":"2022-09-17T12:24:44","date_gmt":"2022-09-17T12:24:44","guid":{"rendered":"https:\/\/www.szlaser.com\/?page_id=10315"},"modified":"2022-09-17T12:45:19","modified_gmt":"2022-09-17T12:45:19","slug":"modulation-transfer-function","status":"publish","type":"page","link":"https:\/\/www.szlaser.com\/index.php\/wiki\/modulation-transfer-function\/","title":{"rendered":"What is Modulation transfer function(MTF)"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1331.2px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\"><h1 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:32;line-height:1.3;\"><h1>What is Modulation transfer function(MTF)?<\/h1><\/h1><\/div><div class=\"fusion-text fusion-text-1\"><p>The MTF is a criterion that describes accurately the optical system performance of imaging systems. It represents the transfer of the contrast modulation from object to image as a function of the spatial frequency (Fig below).<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10317 size-fusion-600\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-600x228.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-600x228.png\" alt=\"\" width=\"600\" height=\"228\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27228%27%20viewBox%3D%270%200%20600%20228%27%3E%3Crect%20width%3D%27600%27%20height%3D%27228%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-200x76.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-300x114.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-400x152.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-600x228.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-768x292.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-800x305.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-1024x390.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency-1200x457.png 1200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/spatial-frequency.png 1250w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>In other words, it describes the system ability to resolve details and is given from measurement numerically (by percentage) on a chart (modulation versus frequency).<\/p>\n<p>In principle, a resolution target that represents the object is placed at the focus of a collimated beam impinging on the optical system that transfers its image to a sensor (Fig below), inputting the identified signals into a computer.<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10318 size-fusion-600\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-600x423.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-600x423.png\" alt=\"\" width=\"600\" height=\"423\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27423%27%20viewBox%3D%270%200%20600%20423%27%3E%3Crect%20width%3D%27600%27%20height%3D%27423%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-200x141.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-300x212.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-400x282.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-600x423.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-768x542.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-800x564.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-1024x723.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency-1200x847.png 1200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/object-of-low-frequency-image-of-low-frequency.png 1250w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>Specially designated software provides a graphical presentation of the MTF results (%), see Fig below. In addition, the observer who sees the image target on the computer screen determines in which group (representing different frequencies) of the resolution target the black and white lines can be seen.<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10319 size-fusion-600\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-600x406.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-600x406.png\" alt=\"\" width=\"600\" height=\"406\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27406%27%20viewBox%3D%270%200%20600%20406%27%3E%3Crect%20width%3D%27600%27%20height%3D%27406%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-200x135.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-300x203.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-400x271.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-600x406.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-768x520.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-800x542.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm-1024x693.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/curve-modulation-frequency-in-lpmm.png 1037w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>The formal definition of the MTF is<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10320 size-fusion-400\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv-400x67.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv-400x67.png\" alt=\"\" width=\"400\" height=\"67\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27400%27%20height%3D%2767%27%20viewBox%3D%270%200%20400%2067%27%3E%3Crect%20width%3D%27400%27%20height%3D%2767%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv-200x33.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv-300x50.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv-400x67.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-MTFv.png 444w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>and the definition of the contrast is<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10321 size-full\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast.png\" alt=\"\" width=\"544\" height=\"73\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27544%27%20height%3D%2773%27%20viewBox%3D%270%200%20544%2073%27%3E%3Crect%20width%3D%27544%27%20height%3D%2773%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast-200x27.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast-300x40.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast-400x54.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast-540x73.png 540w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-contrast.png 544w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<\/div><div style=\"text-align:right;\"><a class=\"fusion-button button-flat fusion-button-default-size button-default fusion-button-default button-1 fusion-button-default-span fusion-button-default-type\" target=\"_self\" href=\"https:\/\/www.szlaser.com\/index.php\/wiki\/boresight\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">What is Boresight &gt;<\/span><\/a><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":7,"featured_media":0,"parent":8230,"menu_order":90,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-10315","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v18.7 (Yoast SEO v25.8) - 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